Nonlinear Ionic Conductivity of Thin Solid Electrolyte Samples: Comparison between Theory and Experiment

Abstract

Nonlinear conductivity effects are studied experimentally and theoretically for thin samples of disordered ionic conductors. Following previous work in this field the {\it experimental nonlinear conductivity} of sodium ion conducting glasses is analyzed in terms of apparent hopping distances. Values up to 43 Åare obtained. Due to higher-order harmonic current density detection, any undesired effects arising from Joule heating can be excluded. Additionally, the influence of temperature and sample thickness on the nonlinearity is explored. From the {\it theoretical side} the nonlinear conductivity in a disordered hopping model is analyzed numerically. For the 1D case the nonlinearity can be even handled analytically. Surprisingly, for this model the apparent hopping distance scales with the system size. This result shows that in general the nonlinear conductivity cannot be interpreted in terms of apparent hopping distances. Possible extensions of the model are discussed.

7 pages, 6 figures

References in corpus (3)

• Complete identification of alkali sites in ion conducting lithium silicate glasses: a computer study of ion dynamics
• A complete identification of lithium sites in a model of LiPO${}_3$ glass: effects of the local structure and energy landscape on ionic jump dynamics
• Application of Nonlinear Conductivity Spectroscopy to Ion Transport in Solid Electrolytes

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